Inputs

As inputs, We define the parameter set \mu by
\mu=(L,Pe)~\in~[1~,~10] \times [0.1~,~100]

Outputs

The output s(\mu) is the integral of the temperature over the heated surface \Gamma_{\mathrm{bottom}} defined by
s(\mu) = \int_{\Gamma_{bottom}} T
This output depends on the solution of the advection diffusion equation above and is dependent on
the parameter set \mu.